10th Class Mathematics Triangles Question Bank Case Based (MCQs) - Triangles

If \[\text{CL}=\text{a},\]then find o In terms of x, y and d.

A) \[\frac{xd}{z}\]

B) \[\frac{xz}{d}\]

C) \[\frac{zd}{x}\]

D) \[xzd\]

Correct Answer: C

Solution :

\[\Delta CAB\tilde{\ }\Delta CLO\]

\[\therefore \,\,\,\,\,\,\,\,\,\,\frac{CA}{CL}=\frac{AB}{LO}\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\frac{z}{a}=\frac{x}{d}\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,a=\frac{zd}{x}\]

So, option [c] is correct.